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Finding the Third Proportional to 201,919.50 and 440,515.13

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Solution

The third proportional to 201,919.50 and 440,515.13 is: 961,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.50 : 440,515.13 = 440,515.13 : x
  2. Step 2: Convert to fraction form
    201,919.50/440,515.13 = 440,515.13/x
  3. Step 3: Cross multiply
    201,919.50x = 440,515.13 × 440,515.13
  4. Step 4: Simplify right side
    201,919.50x = 194,053,575,353.77
  5. Step 5: Solve for x
    x = 194,053,575,353.77/201,919.50
  6. Step 6: Final answer
    x = 961,044.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.